$100 at 9% apr compounded
semiannually for 1 year

The amount at end of 1 year is $ 109.2025

Solution:

Given that,

Principal = $ 100

Rate of interest = 9 % compounded semiannually

Number of years = 1

The formula for total amount using compounded semiannually is:

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Here,

Here, n = 2 since interest is compounded semiannually

Substituting the values in formula,

Thus the amount at end of 1 year is $ 109.2025

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.